61377 has 8 divisors (see below), whose sum is σ = 84000. Its totient is φ = 39840.

The previous prime is 61363. The next prime is 61379. The reversal of 61377 is 77316.

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

It is not a de Polignac number, because 61377 - 2⁸ = 61121 is a prime.

It is a super-2 number, since 2×61377² = 7534272258, which contains 22 as substring.

61377 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61377.

It is not an unprimeable number, because it can be changed into a prime (61379) 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, 127 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

2⁶¹³⁷⁷ is an apocalyptic number.

It is an amenable number.

61377 is a deficient number, since it is larger than the sum of its proper divisors (22623).

61377 is a wasteful number, since it uses less digits than its factorization.

61377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543.

The product of its digits is 882, while the sum is 24.

The square root of 61377 is about 247.7438192973. The cubic root of 61377 is about 39.4459014795.

The spelling of 61377 in words is "sixty-one thousand, three hundred seventy-seven".