36005250 has 64 divisors (see below), whose sum is σ = 91458432. Its totient is φ = 9432000.

The previous prime is 36005239. The next prime is 36005261. The reversal of 36005250 is 5250063.

It is an interprime number because it is at equal distance from previous prime (36005239) and next prime (36005261).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45357 + ... + 46143.

It is an arithmetic number, because the mean of its divisors is an integer number (1429038).

Almost surely, 2^36005250 is an apocalyptic number.

36005250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36005250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45729216).

36005250 is an abundant number, since it is smaller than the sum of its proper divisors (55453182).

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

36005250 is a wasteful number, since it uses less digits than its factorization.

36005250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 36005250 is about 6000.4374840506. The cubic root of 36005250 is about 330.2087751445.

The spelling of 36005250 in words is "thirty-six million, five thousand, two hundred fifty".