61337034 has 64 divisors (see below), whose sum is σ = 153538560. Its totient is φ = 17982000.

The previous prime is 61337027. The next prime is 61337039. The reversal of 61337034 is 43073316.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 = 61336989 and 61337007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61337039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16749 + ... + 20079.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 2^61337034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61337034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769280).

61337034 is an abundant number, since it is smaller than the sum of its proper divisors (92201526).

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

61337034 is a wasteful number, since it uses less digits than its factorization.

61337034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 61337034 is about 7831.7963456668. The cubic root of 61337034 is about 394.3733780908.

The spelling of 61337034 in words is "sixty-one million, three hundred thirty-seven thousand, thirty-four".