3712953 has 16 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 2278656.

The previous prime is 3712949. The next prime is 3712979. The reversal of 3712953 is 3592173.

It is not a de Polignac number, because 3712953 - 2² = 3712949 is a prime.

3712953 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3712953.

It is not an unprimeable number, because it can be changed into a prime (3712253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1623 + ... + 3171.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 2^3712953 is an apocalyptic number.

It is an amenable number.

3712953 is a deficient number, since it is larger than the sum of its proper divisors (1643847).

3712953 is a wasteful number, since it uses less digits than its factorization.

3712953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616.

The product of its digits is 5670, while the sum is 30.

The square root of 3712953 is about 1926.9024365546. The cubic root of 3712953 is about 154.8483150137.

The spelling of 3712953 in words is "three million, seven hundred twelve thousand, nine hundred fifty-three".