31972065 has 32 divisors (see below), whose sum is σ = 53758080. Its totient is φ = 16203264.

The previous prime is 31972051. The next prime is 31972069. The reversal of 31972065 is 56027913.

It is not a de Polignac number, because 31972065 - 2⁴ = 31972049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31972069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28597 + ... + 29693.

It is an arithmetic number, because the mean of its divisors is an integer number (1679940).

Almost surely, 2^31972065 is an apocalyptic number.

It is an amenable number.

31972065 is a deficient number, since it is larger than the sum of its proper divisors (21786015).

31972065 is a wasteful number, since it uses less digits than its factorization.

31972065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 31972065 is about 5654.3845818975. The cubic root of 31972065 is about 317.3878000638.

Adding to 31972065 its reverse (56027913), we get a palindrome (87999978).

It can be divided in two parts, 3 and 1972065, that multiplied together give a palindrome (5916195).

The spelling of 31972065 in words is "thirty-one million, nine hundred seventy-two thousand, sixty-five".