61974 has 24 divisors (see below), whose sum is σ = 146952. Its totient is φ = 18720.

The previous prime is 61967. The next prime is 61979. The reversal of 61974 is 47916.

61974 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61979) by changing a digit.

61974 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (6123).

2⁶¹⁹⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73476).

61974 is an abundant number, since it is smaller than the sum of its proper divisors (84978).

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

61974 is a wasteful number, since it uses less digits than its factorization.

61974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 329 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 61974 is about 248.9457772287. The cubic root of 61974 is about 39.5733827866.

Adding to 61974 its sum of digits (27), we get a square (62001 = 249²).

It can be divided in two parts, 61 and 974, that added together give a triangular number (1035 = T₄₅).

The spelling of 61974 in words is "sixty-one thousand, nine hundred seventy-four".