61605657 has 64 divisors (see below), whose sum is σ = 102816000. Its totient is φ = 36288000.

The previous prime is 61605653. The next prime is 61605667. The reversal of 61605657 is 75650616.

It is a happy number.

It is not a de Polignac number, because 61605657 - 2² = 61605653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61605653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609907 + ... + 610007.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^61605657 is an apocalyptic number.

It is an amenable number.

61605657 is a deficient number, since it is larger than the sum of its proper divisors (41210343).

61605657 is a wasteful number, since it uses less digits than its factorization.

61605657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 61605657 is about 7848.9271241361. The cubic root of 61605657 is about 394.9482536497.

The spelling of 61605657 in words is "sixty-one million, six hundred five thousand, six hundred fifty-seven".