3972505 has 16 divisors (see below), whose sum is σ = 4965840. Its totient is φ = 3048192.

The previous prime is 3972499. The next prime is 3972517. The reversal of 3972505 is 5052793.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1190281 + 2782224 = 1091^2 + 1668^2 .

It is a cyclic number.

It is not a de Polignac number, because 3972505 - 2⁷ = 3972377 is a prime.

It is an unprimeable number.

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, 20067 + ... + 20263.

It is an arithmetic number, because the mean of its divisors is an integer number (310365).

Almost surely, 2^3972505 is an apocalyptic number.

It is an amenable number.

3972505 is a deficient number, since it is larger than the sum of its proper divisors (993335).

3972505 is a wasteful number, since it uses less digits than its factorization.

3972505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 3972505 is about 1993.1143971182. The cubic root of 3972505 is about 158.3755553757.

The spelling of 3972505 in words is "three million, nine hundred seventy-two thousand, five hundred five".