1974 has 16 divisors (see below), whose sum is σ = 4608. Its totient is φ = 552.

The previous prime is 1973. The next prime is 1979. The reversal of 1974 is 4791.

Subtracting from 1974 its sum of digits (21), we obtain a triangular number (1953 = T_{62}).

1974 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (21).

1974 is an undulating number in base 13.

It is a plaindrome in base 8.

It is a nialpdrome in base 7 and base 14.

It is a self number, because there is not a number *n* which added to its sum of digits gives 1974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 65.

It is an arithmetic number, because the mean of its divisors is an integer number (288).

1974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304).

1974 is an abundant number, since it is smaller than the sum of its proper divisors (2634).

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

1974 is a wasteful number, since it uses less digits than its factorization.

1974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59.

The product of its digits is 252, while the sum is 21.

The square root of 1974 is about 44.4297197830. The cubic root of 1974 is about 12.5443756113.

The spelling of 1974 in words is "one thousand, nine hundred seventy-four".

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