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997633 = 71319577
BaseRepresentation
bin11110011100100000001
31212200111101
43303210001
5223411013
633214401
711323360
oct3634401
91780441
10997633
1162159a
12401401
1328c120
141bd7d7
1514a8dd
hexf3901

997633 has 16 divisors (see below), whose sum is σ = 1294720. Its totient is φ = 746496.

The previous prime is 997627. The next prime is 997637. The reversal of 997633 is 336799.

It is a 3-Lehmer number, since φ(997633) divides (997633-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 997633 - 29 = 997121 is a prime.

It is a deceptive number, since it divides R997632.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 997592 and 997601.

It is not an unprimeable number, because it can be changed into a prime (997637) 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, 1441 + ... + 2017.

It is an arithmetic number, because the mean of its divisors is an integer number (80920).

It is a Poulet number, since it divides 2997632-1.

2997633 is an apocalyptic number.

997633 is the 577-th octagonal number.

It is an amenable number.

997633 is a deficient number, since it is larger than the sum of its proper divisors (297087).

997633 is a wasteful number, since it uses less digits than its factorization.

997633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its digits is 30618, while the sum is 37.

The square root of 997633 is about 998.8157988338. The cubic root of 997633 is about 99.9210376659.

The spelling of 997633 in words is "nine hundred ninety-seven thousand, six hundred thirty-three".

Divisors: 1 7 13 19 91 133 247 577 1729 4039 7501 10963 52507 76741 142519 997633