61977 has 8 divisors (see below), whose sum is σ = 84064. Its totient is φ = 40608.

The previous prime is 61967. The next prime is 61979. The reversal of 61977 is 77916.

61977 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

61977 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 61977 - 2⁴ = 61961 is a prime.

It is a super-2 number, since 2×61977² = 7682297058, which contains 22 as substring.

It is a Duffinian number.

61977 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (10508).

2⁶¹⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

61977 is a deficient number, since it is larger than the sum of its proper divisors (22087).

61977 is a wasteful number, since it uses less digits than its factorization.

61977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359.

The product of its digits is 2646, while the sum is 30.

The square root of 61977 is about 248.9518025643. The cubic root of 61977 is about 39.5740213244.

It can be divided in two parts, 619 and 77, that added together give a palindrome (696).

The spelling of 61977 in words is "sixty-one thousand, nine hundred seventy-seven".