61658401 has 16 divisors (see below), whose sum is σ = 74511360. Its totient is φ = 49842000.

The previous prime is 61658381. The next prime is 61658417. The reversal of 61658401 is 10485616.

61658401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 61658401 - 2⁵ = 61658369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61658461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32460 + ... + 34306.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2^61658401 is an apocalyptic number.

It is an amenable number.

61658401 is a deficient number, since it is larger than the sum of its proper divisors (12852959).

61658401 is a wasteful number, since it uses less digits than its factorization.

61658401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 61658401 is about 7852.2863549415. The cubic root of 61658401 is about 395.0609338246.

The spelling of 61658401 in words is "sixty-one million, six hundred fifty-eight thousand, four hundred one".