36977 has 4 divisors (see below), whose sum is σ = 37440. Its totient is φ = 36516.

The previous prime is 36973. The next prime is 36979. The reversal of 36977 is 77963.

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, and also an emirpimes, since its reverse is a distinct semiprime: 77963 = 53 ⋅1471.

It is a cyclic number.

It is not a de Polignac number, because 36977 - 2² = 36973 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 36977.

It is not an unprimeable number, because it can be changed into a prime (36973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2³⁶⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

36977 is a deficient number, since it is larger than the sum of its proper divisors (463).

36977 is a wasteful number, since it uses less digits than its factorization.

36977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462.

The product of its digits is 7938, while the sum is 32.

The square root of 36977 is about 192.2940456696. The cubic root of 36977 is about 33.3153124814.

The spelling of 36977 in words is "thirty-six thousand, nine hundred seventy-seven".