10617312 has 24 divisors (see below), whose sum is σ = 27870696. Its totient is φ = 3539072.

The previous prime is 10617307. The next prime is 10617317. The reversal of 10617312 is 21371601.

It is an interprime number because it is at equal distance from previous prime (10617307) and next prime (10617317).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10617312² = 225454628210688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10617317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55203 + ... + 55394.

It is an arithmetic number, because the mean of its divisors is an integer number (1161279).

Almost surely, 2^10617312 is an apocalyptic number.

10617312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10617312 is an abundant number, since it is smaller than the sum of its proper divisors (17253384).

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

10617312 is a wasteful number, since it uses less digits than its factorization.

10617312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110610 (or 110602 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10617312 is about 3258.4217038315. The cubic root of 10617312 is about 219.7884467722.

Adding to 10617312 its reverse (21371601), we get a palindrome (31988913).

The spelling of 10617312 in words is "ten million, six hundred seventeen thousand, three hundred twelve".