61236 has 48 divisors (see below), whose sum is σ = 183680. Its totient is φ = 17496.

The previous prime is 61231. The next prime is 61253. The reversal of 61236 is 63216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (216) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61231) by changing a digit.

61236 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 15 ways as a sum of consecutive naturals, for example, 8745 + ... + 8751.

2^{61236} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91840).

61236 is an abundant number, since it is smaller than the sum of its proper divisors (122444).

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

61236 is an equidigital number, since it uses as much as digits as its factorization.

61236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 12 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 61236 is about 247.4590875276. The cubic root of 61236 is about 39.4156722590.

The spelling of 61236 in words is "sixty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2187 2268 2916 3402 4374 5103 6804 8748 10206 15309 20412 30618 61236

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