99764 has 18 divisors (see below), whose sum is σ = 203490. Its totient is φ = 42672.

The previous prime is 99761. The next prime is 99767. The reversal of 99764 is 46799.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99761) and next prime (99767).

It can be written as a sum of positive squares in only one way, i.e., 94864 + 4900 = 308^2 + 70^2 .

It is a nialpdrome in base 10.

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 99764.

It is not an unprimeable number, because it can be changed into a prime (99761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (11305).

2⁹⁹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

99764 is an abundant number, since it is smaller than the sum of its proper divisors (103726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99764 is a wasteful number, since it uses less digits than its factorization.

99764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 518 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 99764 is about 315.8543968350. The cubic root of 99764 is about 46.3793457420.

Adding to 99764 its sum of digits (35), we get a palindrome (99799).

The spelling of 99764 in words is "ninety-nine thousand, seven hundred sixty-four".