97629 has 8 divisors (see below), whose sum is σ = 148800. Its totient is φ = 55776.

The previous prime is 97613. The next prime is 97649. The reversal of 97629 is 92679.

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

It is not a de Polignac number, because 97629 - 2⁴ = 97613 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

97629 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 97629.

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 97629.

It is not an unprimeable number, because it can be changed into a prime (97609) 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, 2304 + ... + 2345.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2⁹⁷⁶²⁹ is an apocalyptic number.

It is an amenable number.

97629 is a deficient number, since it is larger than the sum of its proper divisors (51171).

97629 is a wasteful number, since it uses less digits than its factorization.

97629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659.

The product of its digits is 6804, while the sum is 33.

The square root of 97629 is about 312.4563969580. The cubic root of 97629 is about 46.0461100339.

Subtracting from 97629 its reverse (92679), we obtain a triangular number (4950 = T₉₉).

The spelling of 97629 in words is "ninety-seven thousand, six hundred twenty-nine".