40977 has 12 divisors (see below), whose sum is σ = 61620. Its totient is φ = 26208.

The previous prime is 40973. The next prime is 40993. The reversal of 40977 is 77904.

40977 = T₃₈ + T₃₉ + ... + T₆₆.

40977 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 16641 + 24336 = 129^2 + 156^2 .

It is not a de Polignac number, because 40977 - 2² = 40973 is a prime.

It is a super-2 number, since 2×40977² = 3358229058, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40977.

It is not an unprimeable number, because it can be changed into a prime (40973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (5135).

2⁴⁰⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

40977 is a deficient number, since it is larger than the sum of its proper divisors (20643).

40977 is a wasteful number, since it uses less digits than its factorization.

40977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 40977 is about 202.4277648940. The cubic root of 40977 is about 34.4757233119.

The spelling of 40977 in words is "forty thousand, nine hundred seventy-seven".