36510 has 16 divisors (see below), whose sum is σ = 87696. Its totient is φ = 9728.

The previous prime is 36497. The next prime is 36523. The reversal of 36510 is 1563.

It is an interprime number because it is at equal distance from previous prime (36497) and next prime (36523).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 36510.

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 36510.

It is an unprimeable number.

36510 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (5481).

2³⁶⁵¹⁰ is an apocalyptic number.

36510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36510 is an abundant number, since it is smaller than the sum of its proper divisors (51186).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43848).

36510 is a wasteful number, since it uses less digits than its factorization.

36510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 36510 is about 191.0759011493. The cubic root of 36510 is about 33.1744662627.

The spelling of 36510 in words is "thirty-six thousand, five hundred ten".