73021 has 8 divisors (see below), whose sum is σ = 81144. Its totient is φ = 65280.

The previous prime is 73019. The next prime is 73037. The reversal of 73021 is 12037.

73021 = T₃₈ + T₃₉ + ... + T₇₈.

It can be written as a sum of positive squares in 4 ways, for example, as 121 + 72900 = 11^2 + 270^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73021 - 2¹ = 73019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

73021 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 72992 and 73010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73061) 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, 465 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (10143).

2⁷³⁰²¹ is an apocalyptic number.

It is an amenable number.

73021 is a deficient number, since it is larger than the sum of its proper divisors (8123).

73021 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 73021 = (27310)₁₃.

73021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 73021 is about 270.2239811712. The cubic root of 73021 is about 41.7973991651.

Adding to 73021 its reverse (12037), we get a palindrome (85058).

The spelling of 73021 in words is "seventy-three thousand, twenty-one", and thus it is an iban number.