45982629 has 36 divisors (see below), whose sum is σ = 84296160. Its totient is φ = 23884560.

The previous prime is 45982621. The next prime is 45982633. The reversal of 45982629 is 92628954.

It is not a de Polignac number, because 45982629 - 2³ = 45982621 is a prime.

It is a super-2 number, since 2×45982629² = 4228804339503282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45982621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112 + ... + 9590.

It is an arithmetic number, because the mean of its divisors is an integer number (2341560).

Almost surely, 2^45982629 is an apocalyptic number.

45982629 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

45982629 is a deficient number, since it is larger than the sum of its proper divisors (38313531).

45982629 is a wasteful number, since it uses less digits than its factorization.

45982629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9500 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 45982629 is about 6781.0492550932. The cubic root of 45982629 is about 358.2596791589.

It can be divided in two parts, 4598 and 2629, that added together give a palindrome (7227).

The spelling of 45982629 in words is "forty-five million, nine hundred eighty-two thousand, six hundred twenty-nine".