5164257 has 36 divisors (see below), whose sum is σ = 8632080. Its totient is φ = 2730672.

The previous prime is 5164253. The next prime is 5164261. The reversal of 5164257 is 7524615.

It is an interprime number because it is at equal distance from previous prime (5164253) and next prime (5164261).

It is not a de Polignac number, because 5164257 - 2² = 5164253 is a prime.

It is the 2273-rd Hogben number.

5164257 is a modest number, since divided by 4257 gives 516 as remainder.

It is not an unprimeable number, because it can be changed into a prime (5164253) by changing a digit.

It is a nontrivial repunit in base 2272.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120078 + ... + 120120.

It is an arithmetic number, because the mean of its divisors is an integer number (239780).

Almost surely, 2^5164257 is an apocalyptic number.

5164257 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

5164257 is a deficient number, since it is larger than the sum of its proper divisors (3467823).

5164257 is a wasteful number, since it uses less digits than its factorization.

5164257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 72 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 5164257 is about 2272.5001650165. The cubic root of 5164257 is about 172.8499595663.

The spelling of 5164257 in words is "five million, one hundred sixty-four thousand, two hundred fifty-seven".