36273633 has 16 divisors (see below), whose sum is σ = 52992192. Its totient is φ = 21888000.

The previous prime is 36273619. The next prime is 36273659. The reversal of 36273633 is 33637263.

36273633 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 36273633 - 2¹⁰ = 36272609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 36273594 and 36273603.

It is not an unprimeable number, because it can be changed into a prime (36278633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5673 + ... + 10233.

It is an arithmetic number, because the mean of its divisors is an integer number (3312012).

Almost surely, 2^36273633 is an apocalyptic number.

36273633 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

36273633 is a deficient number, since it is larger than the sum of its proper divisors (16718559).

36273633 is a wasteful number, since it uses less digits than its factorization.

36273633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816.

The product of its digits is 40824, while the sum is 33.

The square root of 36273633 is about 6022.7595834468. The cubic root of 36273633 is about 331.0272033088.

It can be divided in two parts, 3627 and 3633, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 36273633 in words is "thirty-six million, two hundred seventy-three thousand, six hundred thirty-three".