4957953 has 48 divisors (see below), whose sum is σ = 8994816. Its totient is φ = 2358720.

The previous prime is 4957937. The next prime is 4957969. The reversal of 4957953 is 3597594.

It is an interprime number because it is at equal distance from previous prime (4957937) and next prime (4957969).

It is not a de Polignac number, because 4957953 - 2⁴ = 4957937 is a prime.

It is a Curzon number.

4957953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4957913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38976 + ... + 39102.

It is an arithmetic number, because the mean of its divisors is an integer number (187392).

Almost surely, 2^4957953 is an apocalyptic number.

It is an amenable number.

4957953 is a deficient number, since it is larger than the sum of its proper divisors (4036863).

4957953 is a wasteful number, since it uses less digits than its factorization.

4957953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its digits is 170100, while the sum is 42.

The square root of 4957953 is about 2226.6461326398. The cubic root of 4957953 is about 170.5169156742.

It can be divided in two parts, 495 and 7953, that added together give a palindrome (8448).

The spelling of 4957953 in words is "four million, nine hundred fifty-seven thousand, nine hundred fifty-three".