42004953 has 32 divisors (see below), whose sum is σ = 67305600. Its totient is φ = 25800768.

The previous prime is 42004933. The next prime is 42004957. The reversal of 42004953 is 35940024.

It is not a de Polignac number, because 42004953 - 2²⁵ = 8450521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42004957) 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, 17875 + ... + 20087.

It is an arithmetic number, because the mean of its divisors is an integer number (2103300).

Almost surely, 2^42004953 is an apocalyptic number.

It is an amenable number.

42004953 is a deficient number, since it is larger than the sum of its proper divisors (25300647).

42004953 is a wasteful number, since it uses less digits than its factorization.

42004953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42004953 is about 6481.1228193886. The cubic root of 42004953 is about 347.6163280468.

Adding to 42004953 its reverse (35940024), we get a palindrome (77944977).

The spelling of 42004953 in words is "forty-two million, four thousand, nine hundred fifty-three".