36077 has 4 divisors (see below), whose sum is σ = 36960. Its totient is φ = 35196.

The previous prime is 36073. The next prime is 36083. The reversal of 36077 is 77063.

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.

It is a cyclic number.

It is not a de Polignac number, because 36077 - 2² = 36073 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36073) 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, 377 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2³⁶⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

36077 is a deficient number, since it is larger than the sum of its proper divisors (883).

36077 is an equidigital number, since it uses as much as digits as its factorization.

36077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882.

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 36077 is about 189.9394640405. The cubic root of 36077 is about 33.0427972430.

Adding to 36077 its sum of digits (23), we get a square (36100 = 190²).

The spelling of 36077 in words is "thirty-six thousand, seventy-seven".