4010 has 8 divisors (see below), whose sum is σ = 7236. Its totient is φ = 1600.

The previous prime is 4007. The next prime is 4013. The reversal of 4010 is 104.

4010 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (4007) and next prime (4013).

It can be written as a sum of positive squares in 2 ways, for example, as 3721 + 289 = 61^2 + 17^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 4.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3985 and 4003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 191 + ... + 210.

It is the magic constant of a 20 × 20 magic square.

2^{4010} is an apocalyptic number.

4010 is a deficient number, since it is larger than the sum of its proper divisors (3226).

4010 is a wasteful number, since it uses less digits than its factorization.

4010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 4010 is about 63.3245607960. The cubic root of 4010 is about 15.8872278534.

Adding to 4010 its reverse (104), we get a palindrome (4114).

The spelling of 4010 in words is "four thousand, ten", and thus it is an iban number.

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