41677965 has 96 divisors (see below), whose sum is σ = 89945856. Its totient is φ = 17418240.

The previous prime is 41677939. The next prime is 41677969. The reversal of 41677965 is 56977614.

It is a happy number.

It is not a de Polignac number, because 41677965 - 2⁷ = 41677837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 41677965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41677969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230175 + ... + 230355.

It is an arithmetic number, because the mean of its divisors is an integer number (936936).

Almost surely, 2^41677965 is an apocalyptic number.

41677965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41677965 is an abundant number, since it is smaller than the sum of its proper divisors (48267891).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41677965 is a wasteful number, since it uses less digits than its factorization.

41677965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 256 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 41677965 is about 6455.8473494964. The cubic root of 41677965 is about 346.7119696506.

The spelling of 41677965 in words is "forty-one million, six hundred seventy-seven thousand, nine hundred sixty-five".