61677 has 24 divisors (see below), whose sum is σ = 112320. Its totient is φ = 31680.

The previous prime is 61673. The next prime is 61681. The reversal of 61677 is 77616.

It is an interprime number because it is at equal distance from previous prime (61673) and next prime (61681).

It is not a de Polignac number, because 61677 - 2² = 61673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁶¹⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

61677 is a deficient number, since it is larger than the sum of its proper divisors (50643).

61677 is a wasteful number, since it uses less digits than its factorization.

61677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 61677 is about 248.3485453954. The cubic root of 61677 is about 39.5100652660.

The spelling of 61677 in words is "sixty-one thousand, six hundred seventy-seven".