10417953 has 32 divisors (see below), whose sum is σ = 17661952. Its totient is φ = 5313600.

The previous prime is 10417949. The next prime is 10417969. The reversal of 10417953 is 35971401.

10417953 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10417953 - 2² = 10417949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10417953.

It is not an unprimeable number, because it can be changed into a prime (10417933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7848 + ... + 9078.

It is an arithmetic number, because the mean of its divisors is an integer number (551936).

Almost surely, 2^10417953 is an apocalyptic number.

10417953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10417953 is a deficient number, since it is larger than the sum of its proper divisors (7243999).

10417953 is a wasteful number, since it uses less digits than its factorization.

10417953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 10417953 is about 3227.6853935909. The cubic root of 10417953 is about 218.4041055394.

The spelling of 10417953 in words is "ten million, four hundred seventeen thousand, nine hundred fifty-three".