42961572 has 36 divisors (see below), whose sum is σ = 110912256. Its totient is φ = 14015280.

The previous prime is 42961571. The next prime is 42961573. The reversal of 42961572 is 27516924.

42961572 is a `hidden beast` number, since 4 + 29 + 61 + 572 = 666.

It is an interprime number because it is at equal distance from previous prime (42961571) and next prime (42961573).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×42961572² = 3691393337422368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42961571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11004 + ... + 14387.

It is an arithmetic number, because the mean of its divisors is an integer number (3080896).

Almost surely, 2^42961572 is an apocalyptic number.

It is an amenable number.

42961572 is an abundant number, since it is smaller than the sum of its proper divisors (67950684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42961572 is a wasteful number, since it uses less digits than its factorization.

42961572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25448 (or 25443 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 42961572 is about 6554.5077618384. The cubic root of 42961572 is about 350.2354116935.

It can be divided in two parts, 429 and 61572, that added together give a square (62001 = 249²).

The spelling of 42961572 in words is "forty-two million, nine hundred sixty-one thousand, five hundred seventy-two".