Search a number
-
+
97370 = 25713107
BaseRepresentation
bin10111110001011010
311221120022
4113301122
511103440
62030442
7553610
oct276132
9157508
1097370
1167179
1248422
1335420
14276b0
151dcb5
hex17c5a

97370 has 32 divisors (see below), whose sum is σ = 217728. Its totient is φ = 30528.

The previous prime is 97369. The next prime is 97373. The reversal of 97370 is 7379.

It is a happy number.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97370.

It is not an unprimeable number, because it can be changed into a prime (97373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

297370 is an apocalyptic number.

97370 is an abundant number, since it is smaller than the sum of its proper divisors (120358).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

97370 is a wasteful number, since it uses less digits than its factorization.

97370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134.

The product of its (nonzero) digits is 1323, while the sum is 26.

The square root of 97370 is about 312.0416638848. The cubic root of 97370 is about 46.0053553941.

Subtracting from 97370 its sum of digits (26), we obtain a square (97344 = 3122).

The spelling of 97370 in words is "ninety-seven thousand, three hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 107 130 182 214 455 535 749 910 1070 1391 1498 2782 3745 6955 7490 9737 13910 19474 48685 97370