73921 has 4 divisors (see below), whose sum is σ = 76500. Its totient is φ = 71344.

The previous prime is 73907. The next prime is 73939. The reversal of 73921 is 12937.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12937 = 17 ⋅761.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 18225 = 236^2 + 135^2 .

It is a cyclic number.

It is not a de Polignac number, because 73921 - 2^{13} = 65729 is a prime.

It is a pancake number, because a pancake can be divided into 73921 parts by 384 straight cuts.

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 73892 and 73901.

It is not an unprimeable number, because it can be changed into a prime (73951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1246 + ... + 1303.

It is an arithmetic number, because the mean of its divisors is an integer number (19125).

2^{73921} is an apocalyptic number.

It is an amenable number.

73921 is a deficient number, since it is larger than the sum of its proper divisors (2579).

73921 is a wasteful number, since it uses less digits than its factorization.

73921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578.

The product of its digits is 378, while the sum is 22.

The square root of 73921 is about 271.8841665121. The cubic root of 73921 is about 41.9684191923.

The spelling of 73921 in words is "seventy-three thousand, nine hundred twenty-one".

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