3712257 has 8 divisors (see below), whose sum is σ = 5499680. Its totient is φ = 2474820.

The previous prime is 3712253. The next prime is 3712259. The reversal of 3712257 is 7522173.

It is not a de Polignac number, because 3712257 - 2² = 3712253 is a prime.

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: 137491 = 3712257 / (3 + 7 + 1 + 2 + 2 + 5 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3712257.

It is not an unprimeable number, because it can be changed into a prime (3712253) 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, 68719 + ... + 68772.

It is an arithmetic number, because the mean of its divisors is an integer number (687460).

Almost surely, 2^3712257 is an apocalyptic number.

It is an amenable number.

3712257 is a deficient number, since it is larger than the sum of its proper divisors (1787423).

3712257 is a wasteful number, since it uses less digits than its factorization.

3712257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137500 (or 137494 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 3712257 is about 1926.7218273534. The cubic root of 3712257 is about 154.8386388735.

It can be divided in two parts, 3712 and 257, that added together give a square (3969 = 63²).

The spelling of 3712257 in words is "three million, seven hundred twelve thousand, two hundred fifty-seven".