91029 has 8 divisors (see below), whose sum is σ = 127840. Its totient is φ = 57456.

The previous prime is 91019. The next prime is 91033. The reversal of 91029 is 92019.

91029 = 60² + 61² + ... + 78².

It is a happy number.

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

It is not a de Polignac number, because 91029 - 2⁵ = 90997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90996 and 91014.

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 91029.

It is not an unprimeable number, because it can be changed into a prime (91009) 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, 742 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (15980).

2⁹¹⁰²⁹ is an apocalyptic number.

It is an amenable number.

91029 is a deficient number, since it is larger than the sum of its proper divisors (36811).

91029 is a wasteful number, since it uses less digits than its factorization.

91029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 91029 is about 301.7101257830. The cubic root of 91029 is about 44.9841919783.

Subtracting 91029 from its reverse (92019), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 9102 and 9, that multiplied together give a palindrome (81918).

The spelling of 91029 in words is "ninety-one thousand, twenty-nine".