59954049 has 27 divisors (see below), whose sum is σ = 90708553. Its totient is φ = 38157504.

The previous prime is 59954047. The next prime is 59954057. The reversal of 59954049 is 94045995.

The square root of 59954049 is 7743.

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

59954049 is a `hidden beast` number, since 599 + 54 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5489649 + 54464400 = 2343^2 + 7380^2 .

It is not a de Polignac number, because 59954049 - 2¹ = 59954047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 59953995 and 59954013.

It is not an unprimeable number, because it can be changed into a prime (59954047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 673597 + ... + 673685.

Almost surely, 2^59954049 is an apocalyptic number.

59954049 is the 7743-rd square number.

59954049 is the 3872-nd centered octagonal number.

It is an amenable number.

59954049 is a deficient number, since it is larger than the sum of its proper divisors (30754504).

59954049 is an equidigital number, since it uses as much as digits as its factorization.

59954049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The cubic root of 59954049 is about 391.3867985469.

Multiplying 59954049 by its product of nonzero digits (291600), we get a square (17482600688400 = 4181220²).

The spelling of 59954049 in words is "fifty-nine million, nine hundred fifty-four thousand, forty-nine".