42653961 has 27 divisors (see below), whose sum is σ = 71901453. Its totient is φ = 24295320.

The previous prime is 42653959. The next prime is 42653977. The reversal of 42653961 is 16935624.

It is a happy number.

The square root of 42653961 is 6531.

It is a perfect power (a square), and thus also a powerful number.

42653961 is a `hidden beast` number, since 4 + 265 + 396 + 1 = 666.

It is not a de Polignac number, because 42653961 - 2¹ = 42653959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42653911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 136996 + ... + 137306.

Almost surely, 2^42653961 is an apocalyptic number.

42653961 is the 6531-st square number.

42653961 is the 3266-th centered octagonal number.

It is an amenable number.

42653961 is a deficient number, since it is larger than the sum of its proper divisors (29247492).

42653961 is an equidigital number, since it uses as much as digits as its factorization.

42653961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The cubic root of 42653961 is about 349.3974967566.

Multiplying 42653961 by its sum of digits (36), we get a square (1535542596 = 39186²).

The spelling of 42653961 in words is "forty-two million, six hundred fifty-three thousand, nine hundred sixty-one".