61038 has 12 divisors (see below), whose sum is σ = 132288. Its totient is φ = 20340.

The previous prime is 61031. The next prime is 61043. The reversal of 61038 is 83016.

61038 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 3391 = 61038 / (6 + 1 + 0 + 3 + 8).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61031) by changing a digit.

61038 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1678 + ... + 1713.

It is an arithmetic number, because the mean of its divisors is an integer number (11024).

2⁶¹⁰³⁸ is an apocalyptic number.

61038 is an abundant number, since it is smaller than the sum of its proper divisors (71250).

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

61038 is a wasteful number, since it uses less digits than its factorization.

61038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61038 is about 247.0586974790. The cubic root of 61038 is about 39.3731442814.

The spelling of 61038 in words is "sixty-one thousand, thirty-eight".