36015 has 20 divisors (see below), whose sum is σ = 67224. Its totient is φ = 16464.

The previous prime is 36013. The next prime is 36017. The reversal of 36015 is 51063.

It is an interprime number because it is at equal distance from previous prime (36013) and next prime (36017).

It is not a de Polignac number, because 36015 - 2^{1} = 36013 is a prime.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a nialpdrome in base 7 and base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 35985 and 36003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5142 + ... + 5148.

2^{36015} is an apocalyptic number.

36015 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36015 is a deficient number, since it is larger than the sum of its proper divisors (31209).

36015 is an frugal number, since it uses more digits than its factorization.

36015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 15 counting only the distinct ones).

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

The square root of 36015 is about 189.7761839642. The cubic root of 36015 is about 33.0238578622.

Multiplying 36015 by its sum of digits (15), we get a square (540225 = 735^{2}).

36015 divided by its sum of digits (15) gives a 4-th power (2401 = 7^{4}).

Adding to 36015 its reverse (51063), we get a palindrome (87078).

The spelling of 36015 in words is "thirty-six thousand, fifteen".

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