61823034 has 128 divisors (see below), whose sum is σ = 176762880. Its totient is φ = 15567552.

The previous prime is 61823029. The next prime is 61823059. The reversal of 61823034 is 43032816.

61823034 = 217² + 218² + ... + 580².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61822989 and 61823007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112749 + ... + 113295.

It is an arithmetic number, because the mean of its divisors is an integer number (1380960).

Almost surely, 2^61823034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61823034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88381440).

61823034 is an abundant number, since it is smaller than the sum of its proper divisors (114939846).

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

61823034 is a wasteful number, since it uses less digits than its factorization.

61823034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 61823034 is about 7862.7624916438. The cubic root of 61823034 is about 395.4122363989.

It can be divided in two parts, 6182 and 3034, that added together give a square (9216 = 96²).

The spelling of 61823034 in words is "sixty-one million, eight hundred twenty-three thousand, thirty-four".