10612953 has 12 divisors (see below), whose sum is σ = 16509220. Its totient is φ = 6530976.

The previous prime is 10612949. The next prime is 10612957. The reversal of 10612953 is 35921601.

10612953 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10612949) and next prime (10612957).

It can be written as a sum of positive squares in 2 ways, for example, as 5631129 + 4981824 = 2373^2 + 2232^2 .

It is not a de Polignac number, because 10612953 - 2² = 10612949 is a prime.

It is a super-2 number, since 2×10612953² = 225269542760418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10612957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45238 + ... + 45471.

Almost surely, 2^10612953 is an apocalyptic number.

10612953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10612953 is a deficient number, since it is larger than the sum of its proper divisors (5896267).

10612953 is a wasteful number, since it uses less digits than its factorization.

10612953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90728 (or 90725 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10612953 is about 3257.7527530493. The cubic root of 10612953 is about 219.7583641743.

The spelling of 10612953 in words is "ten million, six hundred twelve thousand, nine hundred fifty-three".