4972131 has 8 divisors (see below), whose sum is σ = 7366160. Its totient is φ = 3314736.

The previous prime is 4972127. The next prime is 4972147. The reversal of 4972131 is 1312794.

It is not a de Polignac number, because 4972131 - 2² = 4972127 is a prime.

It is a super-2 number, since 2×4972131² = 49444173362322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 184153 = 4972131 / (4 + 9 + 7 + 2 + 1 + 3 + 1).

It is a Duffinian number.

4972131 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4972095 and 4972104.

It is not an unprimeable number, because it can be changed into a prime (4972151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92050 + ... + 92103.

It is an arithmetic number, because the mean of its divisors is an integer number (920770).

Almost surely, 2^4972131 is an apocalyptic number.

4972131 is a deficient number, since it is larger than the sum of its proper divisors (2394029).

4972131 is a wasteful number, since it uses less digits than its factorization.

4972131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184162 (or 184156 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 4972131 is about 2229.8275718091. The cubic root of 4972131 is about 170.6793004326.

It can be divided in two parts, 497 and 2131, that added together give a triangular number (2628 = T₇₂).

The spelling of 4972131 in words is "four million, nine hundred seventy-two thousand, one hundred thirty-one".