1962 has 12 divisors (see below), whose sum is σ = 4290. Its totient is φ = 648.

The previous prime is 1951. The next prime is 1973. The reversal of 1962 is 2691.

It is an interprime number because it is at equal distance from previous prime (1951) and next prime (1973).

It can be written as a sum of positive squares in only one way, i.e., 1521 + 441 = 39^2 + 21^2 .

It is a Smith number, since the sum of its digits (18) 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 (18), and also a Moran number because the ratio is a prime number: 109 = 1962 / (1 + 9 + 6 + 2).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 15 and base 16.

It is an unprimeable number.

1962 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37 + ... + 72.

1962 is an abundant number, since it is smaller than the sum of its proper divisors (2328).

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

1962 is a wasteful number, since it uses less digits than its factorization.

1962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 114 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1962 is about 44.2944691807. The cubic root of 1962 is about 12.5189047278.

Subtracting 1962 from its reverse (2691), we obtain a 6-th power (729 = 3^{6}).

It can be divided in two parts, 19 and 62, that added together give a 4-th power (81 = 3^{4}).

The spelling of 1962 in words is "one thousand, nine hundred sixty-two".

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