61828 has 24 divisors (see below), whose sum is σ = 123480. Its totient is φ = 26880.

The previous prime is 61819. The next prime is 61837. The reversal of 61828 is 82816.

It is an interprime number because it is at equal distance from previous prime (61819) and next prime (61837).

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 61504 = 18^2 + 248^2 .

It is a plaindrome in base 15.

It is an unprimeable number.

61828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1488 + ... + 1528.

It is an arithmetic number, because the mean of its divisors is an integer number (5145).

2⁶¹⁸²⁸ is an apocalyptic number.

It is an amenable number.

61828 is a deficient number, since it is larger than the sum of its proper divisors (61652).

61828 is a wasteful number, since it uses less digits than its factorization.

61828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 61828 is about 248.6523677748. The cubic root of 61828 is about 39.5422823416.

It can be divided in two parts, 618 and 28, that added together give a palindrome (646).

The spelling of 61828 in words is "sixty-one thousand, eight hundred twenty-eight".