61362 has 24 divisors (see below), whose sum is σ = 152256. Its totient is φ = 17496.

The previous prime is 61357. The next prime is 61363. The reversal of 61362 is 26316.

It is a happy number.

61362 is nontrivially palindromic in base 13.

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 not an unprimeable number, because it can be changed into a prime (61363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (6344).

2⁶¹³⁶² is an apocalyptic number.

61362 is an abundant number, since it is smaller than the sum of its proper divisors (90894).

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 (76128).

61362 is a wasteful number, since it uses less digits than its factorization.

61362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 499 counting only the distinct ones).

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

The square root of 61362 is about 247.7135442401. The cubic root of 61362 is about 39.4426878070.

Adding to 61362 its reverse (26316), we get a palindrome (87678).

The spelling of 61362 in words is "sixty-one thousand, three hundred sixty-two".