96629 has 4 divisors (see below), whose sum is σ = 104076. Its totient is φ = 89184.

The previous prime is 96601. The next prime is 96643. The reversal of 96629 is 92669.

96629 = 48² + 49² + ... + 73².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 87025 = 98^2 + 295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-96629 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 96595 and 96604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96329) 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 3 ways as a sum of consecutive naturals, for example, 3704 + ... + 3729.

It is an arithmetic number, because the mean of its divisors is an integer number (26019).

2⁹⁶⁶²⁹ is an apocalyptic number.

It is an amenable number.

96629 is a deficient number, since it is larger than the sum of its proper divisors (7447).

96629 is a wasteful number, since it uses less digits than its factorization.

96629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446.

The product of its digits is 5832, while the sum is 32.

The square root of 96629 is about 310.8520548428. The cubic root of 96629 is about 45.8883555914. Note that the first 3 decimals are identical.

The spelling of 96629 in words is "ninety-six thousand, six hundred twenty-nine".