3972567135 has 16 divisors (see below), whose sum is σ = 6491344896. Its totient is φ = 2073623328.

The previous prime is 3972567133. The next prime is 3972567161. The reversal of 3972567135 is 5317652793.

3972567135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3972567135 - 2¹ = 3972567133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972567133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2816719 + ... + 2818128.

It is an arithmetic number, because the mean of its divisors is an integer number (405709056).

Almost surely, 2^3972567135 is an apocalyptic number.

3972567135 is a deficient number, since it is larger than the sum of its proper divisors (2518777761).

3972567135 is a wasteful number, since it uses less digits than its factorization.

3972567135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5634902.

The product of its digits is 1190700, while the sum is 48.

The square root of 3972567135 is about 63028.3042370648. The cubic root of 3972567135 is about 1583.7638110272.

The spelling of 3972567135 in words is "three billion, nine hundred seventy-two million, five hundred sixty-seven thousand, one hundred thirty-five".