61577 has 4 divisors (see below), whose sum is σ = 62160. Its totient is φ = 60996.

The previous prime is 61561. The next prime is 61583. The reversal of 61577 is 77516.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 61577 - 2⁴ = 61561 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61577.

It is not an unprimeable number, because it can be changed into a prime (61507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (15540).

2⁶¹⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

61577 is a deficient number, since it is larger than the sum of its proper divisors (583).

61577 is a wasteful number, since it uses less digits than its factorization.

61577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582.

The product of its digits is 1470, while the sum is 26.

The square root of 61577 is about 248.1471337735. The cubic root of 61577 is about 39.4887005013.

The spelling of 61577 in words is "sixty-one thousand, five hundred seventy-seven".