3977505 has 80 divisors (see below), whose sum is σ = 8642304. Its totient is φ = 1710720.

The previous prime is 3977503. The next prime is 3977509. The reversal of 3977505 is 5057793.

3977505 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 3977505 - 2¹ = 3977503 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 3977505.

It is not an unprimeable number, because it can be changed into a prime (3977503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65175 + ... + 65235.

Almost surely, 2^3977505 is an apocalyptic number.

3977505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3977505 is an abundant number, since it is smaller than the sum of its proper divisors (4664799).

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

3977505 is a wasteful number, since it uses less digits than its factorization.

3977505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 3977505 is about 1994.3683210480. The cubic root of 3977505 is about 158.4419740692.

The spelling of 3977505 in words is "three million, nine hundred seventy-seven thousand, five hundred five".