40677 has 16 divisors (see below), whose sum is σ = 67200. Its totient is φ = 21312.

The previous prime is 40639. The next prime is 40693. The reversal of 40677 is 77604.

40677 is nontrivially palindromic in base 9.

It is not a de Polignac number, because 40677 - 2¹¹ = 38629 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40677.

It is not an unprimeable number, because it can be changed into a prime (40627) 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, 199 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁴⁰⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

40677 is a deficient number, since it is larger than the sum of its proper divisors (26523).

40677 is a wasteful number, since it uses less digits than its factorization.

40677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 40677 is about 201.6853985791. The cubic root of 40677 is about 34.3913828245.

It can be divided in two parts, 40 and 677, that added together give a palindrome (717).

The spelling of 40677 in words is "forty thousand, six hundred seventy-seven".