91629 has 6 divisors (see below), whose sum is σ = 132366. Its totient is φ = 61080.

The previous prime is 91621. The next prime is 91631. The reversal of 91629 is 92619.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 81225 + 10404 = 285^2 + 102^2 .

It is not a de Polignac number, because 91629 - 2³ = 91621 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5082 + ... + 5099.

It is an arithmetic number, because the mean of its divisors is an integer number (22061).

2⁹¹⁶²⁹ is an apocalyptic number.

It is an amenable number.

91629 is a deficient number, since it is larger than the sum of its proper divisors (40737).

91629 is a wasteful number, since it uses less digits than its factorization.

91629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10187 (or 10184 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 91629 is about 302.7028245656. The cubic root of 91629 is about 45.0828104789.

Subtracting 91629 from its reverse (92619), we obtain a triangular number (990 = T₄₄).

The spelling of 91629 in words is "ninety-one thousand, six hundred twenty-nine".