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997272 = 233819
BaseRepresentation
bin11110011011110011000
31212200000000
43303132120
5223403042
633213000
711322333
oct3633630
91780000
10997272
116212a1
12401160
1328bc03
141bd61a
1514a74c
hexf3798

997272 has 72 divisors (see below), whose sum is σ = 2952300. Its totient is φ = 314928.

The previous prime is 997267. The next prime is 997273. The reversal of 997272 is 272799.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (15876) is a multiple of the sum of its prime factors (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997273) by changing a digit.

997272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52479 + ... + 52497.

2997272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476150).

997272 is an abundant number, since it is smaller than the sum of its proper divisors (1955028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

997272 is an equidigital number, since it uses as much as digits as its factorization.

997272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 24 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 997272 is about 998.6350684810. The cubic root of 997272 is about 99.9089838524.

The spelling of 997272 in words is "nine hundred ninety-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 729 972 1026 1368 1458 1539 1944 2052 2187 2916 3078 4104 4374 4617 5832 6156 6561 8748 9234 12312 13122 13851 17496 18468 26244 27702 36936 41553 52488 55404 83106 110808 124659 166212 249318 332424 498636 997272