90517629 has 8 divisors (see below), whose sum is σ = 123258240. Its totient is φ = 59061056.

The previous prime is 90517619. The next prime is 90517643. The reversal of 90517629 is 92671509.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90517629 - 2⁵ = 90517597 is a prime.

It is a super-3 number, since 3×90517629³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90517619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320844 + ... + 321125.

It is an arithmetic number, because the mean of its divisors is an integer number (15407280).

Almost surely, 2^90517629 is an apocalyptic number.

It is an amenable number.

90517629 is a deficient number, since it is larger than the sum of its proper divisors (32740611).

90517629 is a wasteful number, since it uses less digits than its factorization.

90517629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642019.

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 90517629 is about 9514.0753097713. The cubic root of 90517629 is about 448.9979828052.

The spelling of 90517629 in words is "ninety million, five hundred seventeen thousand, six hundred twenty-nine".