36777041 has 16 divisors (see below), whose sum is σ = 43438080. Its totient is φ = 30481920.

The previous prime is 36777031. The next prime is 36777043. The reversal of 36777041 is 14077763.

It is not a de Polignac number, because 36777041 - 2¹⁰ = 36776017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36776992 and 36777010.

It is not an unprimeable number, because it can be changed into a prime (36777043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35945 + ... + 36953.

It is an arithmetic number, because the mean of its divisors is an integer number (2714880).

Almost surely, 2^36777041 is an apocalyptic number.

It is an amenable number.

36777041 is a deficient number, since it is larger than the sum of its proper divisors (6661039).

36777041 is a wasteful number, since it uses less digits than its factorization.

36777041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184.

The product of its (nonzero) digits is 24696, while the sum is 35.

The square root of 36777041 is about 6064.4077204621. The cubic root of 36777041 is about 332.5515129264.

The spelling of 36777041 in words is "thirty-six million, seven hundred seventy-seven thousand, forty-one".